Find measure of angle a round to the nearest degree

To solve this question, we must use the cosine rule:

cos(A) = (b^2 + c^2 - a^2)/2bc, where A is the angle you want to find, a is the side opposite that angle, and b and c are the other two sides of the triangle.

Given that we know that a = 6, b = 12, c = 14, we can substitute these values into the formula to get:

cos(A) = (12^2 + 14^2 - 6^2)/2(12)(14)

cos(A) = (144 + 196 - 36)/336

cos(A) = 304/336

cos(A) = 19/21

A = cos-1(19/21)

A = 25° (to the nearest degree)

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step-by-step explanation: